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Related papers: Quantum Mechanical Three-Body Problem with Short-R…

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We introduce an approach, based on the coordinate space Faddeev equations, to solve the quantum mechanical three-body Coulomb problem in the continuum. We apply the approach to compute measured properties of the first two $0^+$ levels in…

Nuclear Theory · Physics 2009-10-30 D. V. Fedorov , A. S. Jensen

When two non-relativistic particles interact resonantly in three dimensions, an infinite tower of three-body bound states emerges, exhibiting a discrete scale invariance. This universal phenomenon, known as the Efimov effect, has garnered…

Quantum Gases · Physics 2026-04-16 Ning Sun , Lei Feng , Pengfei Zhang

Particles with resonant short-range interactions have universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the existence of a…

Nuclear Theory · Physics 2011-02-14 H. -W. Hammer , L. Platter

The low-energy scattering of three bosons or distinguishable particles with short-range interactions is characterized by a fundamental parameter, the three-body scattering hypervolume. Its imaginary part is directly related to the…

Quantum Gases · Physics 2017-10-12 Shangguo Zhu , Shina Tan

A three-atom molecule AAB, formed by two identical bosons A and a distinct one B, is studied by considering coupled channels close to a Feshbach resonance. It is assumed that the subsystems AB and AA have, respectively, one and two…

Atomic Physics · Physics 2020-12-08 Marcelo T. Yamashita , Tobias Frederico , Lauro Tomio

We study the three-boson bound-state mass and wave functions for ground and excited states within the three-body relativistic framework with Kamada and Gl\"ocke boosted potentials in the limit of a zero-range interaction. We adopt a…

Nuclear Theory · Physics 2021-11-10 K. Mohseni , A. J. Chaves , D. R. da Costa , T. Frederico , M. R. Hadizadeh

We find that universal three-body physics extends beyond the threshold regime to non-zero energies. For ultracold atomic gases with a negative two-body $s$-wave scattering length near a Feshbach resonance, we show the resonant peaks…

Atomic Physics · Physics 2015-03-17 Yujun Wang , B. D. Esry

We apply a functional renormalisation group to systems of four bosonic atoms close to the unitary limit. We work with a local effective action that includes a dynamical trimer field and we use this field to eliminate structures that do not…

Quantum Gases · Physics 2013-10-30 Benjamin Jaramillo Avila , Michael C. Birse

We provide a general discussion on the importance of three-body Efimov physics for strongly interacting ultracold quantum gases. Using the adiabatic hyperspherical representation, we discuss a universal classification of three-body systems…

Atomic Physics · Physics 2018-02-14 Jose P. D'Incao

We study two species of particles in two dimensions interacting by isotropic short-range potentials with the interspecies potential fine-tuned to a p-wave resonance. Their universal low-energy physics can be extracted by analyzing a…

Quantum Gases · Physics 2014-12-25 Sergej Moroz , Yusuke Nishida

The independence between few-body scales beyond the van der Waals universality is demonstrated for the extreme mass-imbalanced case of a specific many-boson system. This finding generalizes the scaling properties of universal tetramers to a…

Quantum Physics · Physics 2019-03-26 W. De Paula , A. Delfino , T. Frederico , Lauro Tomio

Spinor condensates have proven to be a rich area for probing many-body phenomena richer than that of an ultracold gas consisting of atoms restricted to a single spin state. In the strongly correlated regime, the physics controlling the…

Quantum Physics · Physics 2014-12-30 V. E. Colussi , Chris H. Greene , J. P. D'Incao

In this study, the quantum 3-body harmonic system with finite rest length $R$ and zero total angular momentum $L=0$ is explored. It governs the near-equilibrium $S$-states eigenfunctions $\psi(r_{12},r_{13},r_{23})$ of three identical point…

Quantum Physics · Physics 2023-03-22 H. Olivares-Pilón , A. M. Escobar-Ruiz , F. Montoya

We study the impact of three-body physics in quenched unitary Bose gases, focusing on the role of the Efimov effect. Using a local density model, we solve the three-body problem and determine three-body decay rates at unitary, finding…

Atomic Physics · Physics 2018-07-18 J. P. D'Incao , J. Wang , V. E. Colussi

Background: The relativistic three-body problem has a long tradition in few-nucleon physics. Calculations of the triton binding energy based on the solution of the relativistic Faddeev equation in general lead to a weaker binding than the…

Nuclear Theory · Physics 2014-11-17 M. R. Hadizadeh , Ch. Elster , W. N. Polyzou

We show that many aspects of ultracold three-body collisions can be controlled by choosing the mass ratio between the collision partners. In the ultracold regime, the scattering length dependence of the three-body rates can be substantially…

Atomic Physics · Physics 2009-11-11 J. P. D'Incao , B. D. Esry

The scattering and bound states of the many-body systems, related to the short-range Dyson model, are studied. First, we show that the scattering states can be realized as coherent states and the scattering Hamiltonian can be connected to a…

Strongly Correlated Electrons · Physics 2007-05-23 Meripeni Ezung , N. Gurappa , Avinash Khare , Prasanta K. Panigrahi

A new class of universal "three-body" bound states has been recently predicted theoretically for identical fermions interacting at p-wave resonance in two dimensions. This phenomenon is called the super Efimov effect since the binding…

Quantum Gases · Physics 2017-03-15 Pengfei Zhang , Zhenhua Yu

When describing the low-energy physics of bosons in a double-well potential with a high barrier between the wells and sufficiently weak atom-atom interactions, one can to a good approximation ignore the high energy states and thereby obtain…

Quantum Gases · Physics 2018-01-16 Jacek Dobrzyniecki , Xikun Li , Anne E. B. Nielsen , Tomasz Sowiński

We revisit the problem of three identical bosons in free space, which exhibits a universal hierarchy of bound states (Efimov trimers). Modelling a narrow Feshbach resonance within a two-channel description, we map the integral equation for…

Other Condensed Matter · Physics 2008-04-17 Alexander O. Gogolin , Christophe Mora , Reinhold Egger